Poorly Visible Media in X-ray Tomography

By Edited by D.S. Anikonov, et al.
December 2002
VSP
ISBN: 90-6764-374-2
302 pages, Illustrated
$240.00 hardcover

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The tomography problem considered in this volume of the Inverse and Ill-Posed Problems Series consists of finding an essential part of information about the internal structure of an unknown medium. More particularly, the contact boundaries between various materials in the medium are sought. This investigation is implemented by studying an appropriate mathematical model, which is represented as a transport equation (linear Boltzmann's equation) together with certain boundary conditions. Both theoretical and numerical methods have been used and the results consist of proved theorems, computer testing of the corresponding algorithms, together with a number of tables.

THE THEORETICAL ASPECTS OF INVISIBILITY IN X-RAY TOMOGRAPHY
                            The diret problem to the monoenergetic transport equation
                            Setting the tomography problems and preliminary remarks
                            The preliminary statements
                            Modification of the indicator of heterogeneity and its properties
                            Invisible and poorly visible media in X-ray tomography
                            Examples of invisible media in X-ray tomography
                            Consideration of the case with energy dependence
THE TABLES OF POORLY VISIBLE PAIRS OF SUBSTANCES IN SOFT X-RAY TOMOGRAPHY
                            The tables of poorly visible pairs at the points of their coefficients continuity
                            The tables of poorly visible pairs at the points of their absorption edges
                            Extensions of the approach onto arbitrary substances
                            Bibliography



Mathematics
Inverse and Ill-Posed Problems Series

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